What is the Least Common Multiple of 76356 and 76365?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 76356 and 76365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76356 and 76365, than apply into the LCM equation.

GCF(76356,76365) = 9
LCM(76356,76365) = ( 76356 × 76365) / 9
LCM(76356,76365) = 5830925940 / 9
LCM(76356,76365) = 647880660

Least Common Multiple (LCM) of 76356 and 76365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76356 and 76365. First we will calculate the prime factors of 76356 and 76365.

Prime Factorization of 76356

Prime Factorization of 76365

Now multiplying the highest exponent prime factors to calculate the LCM of 76356 and 76365.

LCM(76356,76365) = 2² × 3³ × 7¹ × 101¹ × 5¹ × 1697¹
LCM(76356,76365) = 647880660